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120255040 = 2652316339
BaseRepresentation
bin1110010101011…
…11001001000000
322101021120220101
413022233021000
5221241130130
615533252144
72660102533
oct712571100
9271246811
10120255040
1161976434
1234334054
131bbb6039
1411d84a1a
15a8561ca
hex72af240

120255040 has 56 divisors (see below), whose sum is σ = 298825920. Its totient is φ = 46007808.

The previous prime is 120255011. The next prime is 120255067. The reversal of 120255040 is 40552021.

It is a super-2 number, since 2×1202550402 = 28922549290803200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120254999 and 120255017.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 810 + ... + 15529.

Almost surely, 2120255040 is an apocalyptic number.

120255040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149412960).

120255040 is an abundant number, since it is smaller than the sum of its proper divisors (178570880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120255040 is a wasteful number, since it uses less digits than its factorization.

120255040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16379 (or 16369 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 120255040 is about 10966.0859015421. The cubic root of 120255040 is about 493.5916024514.

The spelling of 120255040 in words is "one hundred twenty million, two hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 736 920 1472 1840 3680 7360 16339 32678 65356 81695 130712 163390 261424 326780 375797 522848 653560 751594 1045696 1307120 1503188 1878985 2614240 3006376 3757970 5228480 6012752 7515940 12025504 15031880 24051008 30063760 60127520 120255040